1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iren [92.7K]
3 years ago
14

Simplify the number using the imaginary unit i square root of -98

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
3 0

Answer:

\sqrt{-98}=7i\sqrt{2}

Step-by-step explanation:

We wish to simplify:

\sqrt{-98}

We can rewrite it as such:

=\sqrt{-1\cdot 98}  =\sqrt{-1\cdot 49\cdot2}=\sqrt{-1}\cdot\sqrt{49}\cdot\sqrt{2}

Hence:

=i(7)\sqrt{2}

Therefore:

\sqrt{-98}=7i\sqrt{2}

emmainna [20.7K]3 years ago
3 0

this is the answer

Step-by-step explanation:

please mark me in the brainliest

You might be interested in
Find the quotient
Sindrei [870]

Answer:

1) 2.3

2) 4.088

3) .416

4) 12.52

5) 1012.5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
In general, the median of a data set is less resistant to outliers than the mean. A. True B. False
Leto [7]
A. true, the median of a data set is less resistant to outliers than the mean
7 0
2 years ago
Read 2 more answers
Four out of 18 male student and
prisoha [69]

Answer:

Male 2:9

Female 1:7

Step-by-step explanation:

4 0
3 years ago
MATH HELP!!! 100PTS!!!
Lostsunrise [7]

Answer:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Step-by-step explanation:

<u>Given functions</u>:

  p(x)=2x-4

  r(x)=\dfrac{6x-1}{9x+1}

Solve for p(x) = r(x):

\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

Therefore:

a=18, \quad b=-40, \quad c=-3

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}

Therefore, the solutions are:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

6 0
1 year ago
Please hurry its timed
Arte-miy333 [17]

Answer:

Love the yeonjun pfp

Step-by-step explanation:

KINDA CUTE

6 0
2 years ago
Read 2 more answers
Other questions:
  • Find the distance between points P(8,2) and Q(3,8) to the nearst tenth
    8·1 answer
  • The distance from your house to the ice cream shop is 12 miles. Your best friend’s house is on the segment between your house an
    5·2 answers
  • the length of a swimming pool is 22 ft. the width is 40 ft. if the volume of the pool is 2,500 ft, which equation would you use
    15·1 answer
  • Write the equation in Slope - intercept form by solving for y. 2x+3y=12
    5·2 answers
  • Which ratio correctly compares 5 yards to 6 feet?
    7·1 answer
  • In how many ways could nine people be divided into two groups of two people and one group of five people?
    8·1 answer
  • Plot triangle ABC with coordinates A(-4,5),B(-1,5),C(-1,1)​
    13·1 answer
  • Solve the equation a+b+c=180 for c
    9·1 answer
  • A total of 620 tickets were sold for the school play. They were either adult tickets or student tickets. There were 70 more stud
    14·2 answers
  • Please help im not good at theses
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!